From the June 29, 1776, Virginia Constitution (Link) which listed grievances against the rule of George III and then declared (red bold emphasis mine):
"By which acts of misrule, the government of this country, as formerly exercised by the Crown of Great Britain, is TOTALLY DISSOLVED."
Is that formal enough for you? Note that the United States was not mentioned.
Consider South Carolina's Ordinance of Secession (Link2):
AN ORDINANCE to dissolve the union between the State of South Carolina and other States united with her under the compact entitled "The Constitution of the United States of America."
Sound similar to the 1776 Virginia dissolution? From the Wikipedia link you provided: "Secession (derived from the Latin term secessio) is the withdrawal of a group from a larger entity, especially a political entity (a country), but also any organization, union or military alliance.
No. Without concordance it is rebellion, not secession.